Intersecting Legendrians and blow-ups

The purpose of this note is to describe the relationship between two classe s of Legendre distributions. These two classes are distributions associated to an intersecting pair of Legendre submanifolds, introduced in [2] by ana logy with intersecting Lagrangian distributions of Melrose and Uhlmann [8], and Legendre distributions associated to a fibred scattering structure int roduced in [3]. We prove that, given appropriate symbolic orders, the first class is a proper subset of the second. We also give an example in two dim ensions, which shows explicitly the relation between the two spaces in a si mple setting.